Concept-wise Practice

fractional intersection MCQ Questions for Class 10

fractional intersection se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

5 questions tagged with fractional intersection.

Question 1/5 Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

रेखाएं (2x-5y=1) और (3x+2y=22) ग्राफ पर किस बिंदु पर मिलेंगी?

At which point will the lines (2x-5y=1) and (3x+2y=22) meet on the graph?

Explanation opens after your attempt
Correct Answer

A. (\left\(\frac{112}{19},\frac{41}{19}\right\))

Step 1

Concept

Elimination gives (19x=112), so \(x=\frac{112}{19}\) and \(y=\frac{41}{19}\). A graphical solution may also have fractional coordinates.

Step 2

Why this answer is correct

The correct answer is A. (\left\(\frac{112}{19},\frac{41}{19}\right\)). Elimination gives (19x=112), so \(x=\frac{112}{19}\) and \(y=\frac{41}{19}\). A graphical solution may also have fractional coordinates.

Step 3

Exam Tip

उन्मूलन करने पर (19x=112), इसलिए \(x=\frac{112}{19}\) और \(y=\frac{41}{19}\)। ग्राफीय हल भिन्न निर्देशांक में भी हो सकता है।

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Question 2/5 Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

रेखाएं (7x-y=20) और (x+3y=12) का सही प्रतिच्छेद क्या है?

What is the correct intersection of (7x-y=20) and (x+3y=12)?

Explanation opens after your attempt
Correct Answer

B. (\left\(\frac{36}{11},\frac{32}{11}\right\))

Step 1

Concept

Putting (y=7x-20) in (x+3y=12) gives (22x=72), so \(x=\frac{36}{11}\) and \(y=\frac{32}{11}\). Fractional coordinates can also be correct graphical solutions.

Step 2

Why this answer is correct

The correct answer is B. (\left\(\frac{36}{11},\frac{32}{11}\right\)). Putting (y=7x-20) in (x+3y=12) gives (22x=72), so \(x=\frac{36}{11}\) and \(y=\frac{32}{11}\). Fractional coordinates can also be correct graphical solutions.

Step 3

Exam Tip

(y=7x-20) को (x+3y=12) में रखने पर (22x=72), इसलिए \(x=\frac{36}{11}\) और \(y=\frac{32}{11}\)। भिन्न निर्देशांक भी सही ग्राफीय समाधान हो सकते हैं।

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Question 3/5 Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखाएं (5x+2y=23) और (x-3y=-4) ग्राफ पर किस बिंदु पर मिलेंगी?

At which point will the lines (5x+2y=23) and (x-3y=-4) meet on the graph?

Explanation opens after your attempt
Correct Answer

A. (\left\(\frac{61}{17},\frac{43}{17}\right\))

Step 1

Concept

Putting (x=3y-4) gives (5(3y-4)+2y=23), so \(y=\frac{43}{17}\) and \(x=\frac{61}{17}\). Fractional coordinates can also be correct graphical solutions.

Step 2

Why this answer is correct

The correct answer is A. (\left\(\frac{61}{17},\frac{43}{17}\right\)). Putting (x=3y-4) gives (5(3y-4)+2y=23), so \(y=\frac{43}{17}\) and \(x=\frac{61}{17}\). Fractional coordinates can also be correct graphical solutions.

Step 3

Exam Tip

(x=3y-4) रखने पर (5(3y-4)+2y=23), इसलिए \(y=\frac{43}{17}\) और \(x=\frac{61}{17}\)। भिन्न निर्देशांक भी सही ग्राफीय समाधान हो सकते हैं।

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Question 4/5 Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखाएं (6x-y=17) और (x+2y=9) का सही प्रतिच्छेद क्या है?

What is the correct intersection of (6x-y=17) and (x+2y=9)?

Explanation opens after your attempt
Correct Answer

A. (\left\(\frac{43}{13},\frac{37}{13}\right\))

Step 1

Concept

Putting (y=6x-17) in (x+2y=9) gives (13x=43), so \(x=\frac{43}{13}\) and \(y=\frac{37}{13}\). Fractional coordinates can also be correct graphical solutions.

Step 2

Why this answer is correct

The correct answer is A. (\left\(\frac{43}{13},\frac{37}{13}\right\)). Putting (y=6x-17) in (x+2y=9) gives (13x=43), so \(x=\frac{43}{13}\) and \(y=\frac{37}{13}\). Fractional coordinates can also be correct graphical solutions.

Step 3

Exam Tip

(y=6x-17) को (x+2y=9) में रखने पर (13x=43), इसलिए \(x=\frac{43}{13}\) और \(y=\frac{37}{13}\)। भिन्न निर्देशांक भी सही ग्राफीय समाधान हो सकते हैं।

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Question 5/5 Expert Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएं (2x+3y=17) और (5x-2y=4) का सही प्रतिच्छेद क्या है?

What is the correct intersection of (2x+3y=17) and (5x-2y=4)?

Explanation opens after your attempt
Correct Answer

B. (\left\(\frac{46}{19},\frac{77}{19}\right\))

Step 1

Concept

By elimination, (4x+6y=34) and (15x-6y=12), so (19x=46) and \(y=\frac{77}{19}\). Fractional coordinates can also be graphical solutions.

Step 2

Why this answer is correct

The correct answer is B. (\left\(\frac{46}{19},\frac{77}{19}\right\)). By elimination, (4x+6y=34) and (15x-6y=12), so (19x=46) and \(y=\frac{77}{19}\). Fractional coordinates can also be graphical solutions.

Step 3

Exam Tip

उन्मूलन से (4x+6y=34) और (15x-6y=12), इसलिए (19x=46) और \(y=\frac{77}{19}\)। भिन्न निर्देशांक भी ग्राफीय समाधान हो सकते हैं।

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